{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "### Script to read shoes dataset downloaded from ... into a tensor\n",
    "\n",
    "import os\n",
    "import numpy as np\n",
    "from skimage.io import imread\n",
    "from skimage.transform import resize\n",
    "from matplotlib import pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# open folder\n",
    "root = '../../shoeData'\n",
    "\n",
    "# for each folder open sub dir (each sub dir is a label)\n",
    "folders = {'Boots': 0, 'Sandals': 1, 'Shoes': 2, 'Slippers' : 3}\n",
    "\n",
    "#The \"word\" labels\n",
    "Labels = ['Boots','Sandals', 'Shoes', 'Slippers']\n",
    "finegrainLabels = []\n",
    "subfinegrainLabels = []\n",
    "\n",
    "#The data and numberical label\n",
    "imList = []\n",
    "labelList = [] #Boots, Sandals, Shoes, Slippers\n",
    "finegrainLabelList = [] #Fine grain subcategories\n",
    "subfinegrainLabelList = [] #FinER grain subcategories\n",
    "\n",
    "fineLabelCounter = 0\n",
    "subfineLabelCounter = 0\n",
    "for folder in folders:\n",
    "    print 'processing ',folder,' folder...'\n",
    "    subfolders = os.listdir(os.path.join(root, folder))\n",
    "    for subfolder in subfolders:\n",
    "        subsubfolders = os.listdir(os.path.join(root, folder, subfolder))\n",
    "        for subsubfolder in subsubfolders:\n",
    "            images = os.listdir(os.path.join(root, folder, subfolder, subsubfolder))\n",
    "            for image in images:\n",
    "                if image.endswith('.jpg'):\n",
    "                    im = imread(os.path.join(root, folder, subfolder, subsubfolder, image))\n",
    "                    if np.shape(im) == (136, 136, 3): #one image was (135, 135, 3)\n",
    "                        imList.append(im)\n",
    "                        labelList.append(folders[folder])\n",
    "                        finegrainLabelList.append(fineLabelCounter)\n",
    "                        subfinegrainLabelList.append(subfineLabelCounter)\n",
    "            subfineLabelCounter+=1\n",
    "            subfinegrainLabels.append(folder+'_'+subfolder+'_'+subsubfolder)\n",
    "        fineLabelCounter+=1\n",
    "        finegrainLabels.append(folder+'_'+subfolder)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "labels: {'Slippers': 3, 'Sandals': 1, 'Shoes': 2, 'Boots': 0}\n",
      "fine grain labels: ['Slippers_Boot', 'Slippers_Slipper Flats', 'Slippers_Slipper Heels', 'Sandals_Athletic', 'Sandals_Flat', 'Sandals_Heel', 'Shoes_Boat Shoes', 'Shoes_Clogs and Mules', 'Shoes_Crib Shoes', 'Shoes_Firstwalker']\n",
      "sub fine grain labels: ['Slippers_Boot_Acorn', 'Slippers_Boot_Baffin', 'Slippers_Boot_Boots', 'Slippers_Boot_Foamtreads', 'Slippers_Boot_Minnetonka', 'Slippers_Boot_Old Friend', 'Slippers_Boot_Slippers', 'Slippers_Boot_UGG Kids', 'Slippers_Slipper Flats_Acorn', 'Slippers_Slipper Flats_Acorn Kids']\n"
     ]
    }
   ],
   "source": [
    "print 'labels:', folders\n",
    "print 'fine grain labels:', finegrainLabels[:10]\n",
    "print 'sub fine grain labels:', subfinegrainLabels[:10]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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RmjThzEdoFoUOSsg2Qw5XROQBVV1V67hxcTSKyFLgJOA+YL6qbol3bSUyL7LOuUREVovI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\nXigTNAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1143344d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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5d6k5dCNwQbx9AXDD1LsXEBAw15hOKfqXAm8Dfisiv473fRz4J+BaEXkXsAl44/S6GBAQ\nMJeYMlFwzv0ckDqHz5nqfQMCAvYvgkdjQEBAAoEoBAQEJBCIQkBAQAKBKAQEBCQQiEJAQEACgSgE\nBAQkEIhCQEBAAoEoBAQEJBCIQkBAQAKBKAQEBCQQiEJAQEACgSgEBAQkMJ0oyYCDAKOjoxQKBf//\n+Pg4AMPDwwDkcjny+WgaiQhRRD2J80dHRwFoaWlJ3AvAOVdzzWxhZGSEYrGY2Dc2NkalUgGgUCjQ\n0pJcJ51zRLmCktA+N+r72NiYPyd9b4jGR/fv2LEDgFtuuYWxsTEAVq9e7ds/8sgjAXjuc5/LwMAA\nAJ2dnfT39wNQKpX8c+h7ymqzEQKnEBAQkEDgFAImRKFQ8FxBpVKho6MDgLa2tppzx8bG/Aqnq1uh\nUPArmIUen0tOIZfLea5FUSgUyOVyNefqc4yNjfnjWec55zKf2bap6OvrA+Dhhx/mF7/4BQAPPvgg\nGzduTLS5Y8cOFi9eDEA+n+epp54CoL29HYDDDz+cD33oQwC88pWvpLOzE6hyb7YvY2Njk+YWAlEI\nmBDDw8P+oy6VSv6j0glYLBY9S57L5TI/HHuvoaEhfy+A1tbWWet7Gln9c8558aFSqfjj+kzOuQmJ\nhnPOi0+KwcFB/yHfc8893HnnnQDcf//9AOzatcsTjo6ODo4//vhEm4ceeqgnCpVKxY+VJjh+7LHH\n+OQnPwnAunXruOCCKNHZscceCyRFEmgs4qQRxIeAgIAEAqcQMCEs6z8yMuJXVWVl7YrU399fo8hr\naWnxK22pVMoUJeYKo6Ojvr/6KyJ+1bZsv3JChULBK/UUHR0d/pk2b97M7bffDkRcAcAjjzzC1q1b\nAdi+fbtva+XKlQCcfPLJLFq0yPdDFYW6ore3t/txzufznHrqqUA0/gBPPfUUTz/9NAA//OEPfV8u\nvvhiIOJiVNFYKpX8vZpF4BQCAgISCJxCwIQYGhryq05ra2sNJ1Aul71M3dnZmWkKUz1ELperUXpl\nmQlnC2NjYzUmUcDrOax+w3I02uff/va3ANx6663cdtttAGzYsMGv4Mo9lctlDj/8cABe/vKXe/2A\njk25XPaciIj4bVUOtrS0+HsODQ35/h166KEAnHbaaWitlPXr1/Pd734XgBNOOAGAt771rV6pWSqV\nanQejSBZNti5xpo1a9y6dev2dzcCGqBcLnPTTTcB8JOf/ASA3bt3e+13R0cHf/ZnfwbAiSeeCER2\ndsXQ0JAnEPoBZn2kswlVEA4ODgIRodKPGeCJJ54AqkrBG2+8kc2bNwPw5JNPAtDb2+utMMuWLWPh\nwoUA/uM76aST6O7uBqC7u9u3qYQmn8/7D31wcJDly6MiaqpIzOfz/l6VSsUTDbX4nHDCCd5isW3b\nNr99zDHHABGhsMRZ28/n8+udc2sajVEQHwICAhII4kNAQzz22GMA3HDDDdx8880A7NmzB4AlS5Z4\nVnX37t386le/AuD0008H4LWvfS0ve9nLgGilUw5BV7K5hPXOXLBgAQBbt27lqquuAiKl3SOPPAJU\nFY0DAwNevFGO6LjjjuOQQw4BYOHChX4F19V906ZNvp329nbPHSl3MjIyklC+qlJy7969vq96vKur\ny+/r6ekBIk5F77l8+XI/pg899BAA9913H2eccQYQcUaqyGwWM1FLMici94vITfH/R4vIWhHZKCLf\nFpG5ERgDAgJmBDPBKXyAqAz9wvj/fwb+3Tl3jYh8CXgX8MUZaCdgP2DPnj1cc801QMQp6GqoirS+\nvj4vs65cudKvSqqI++1vf8umTZsAeNOb3uRXWEW5XM70jpwNPPXUU/zgBz8AIl2B7iuXy0DEvWj/\n1BHo8MMP9/3TX+sZWS6XvVJQf0ulkuc07HHrJanblUrFb69YsQKIOI7HH3/cn6uKSsX4+Lg3Mw4O\nDvrjatL8r//6L6688krfVzV/NotpEQURWQX8CfAPwIfi+pIvB94an3IlcAmBKMwL9PX1ebY5C5VK\nxX/0yupeeuml/PrXUVXAsbExf711/dVJPTQ05G36z3ve8wB4/PHH+cxnPgNE7PH73/9+AK+cs4ru\noaEhr+m3Fgk9R0S82KEfWtojUs9VpeDNN9/Mj3/8YwB+85vfJIKzAJYuXer9AFavXu0/MGX/9+7d\n659PP/SRkRF/n0ql4vukbe/bt89fY8/VfSLi27d+BCqGVSqVhEiiY63iy/bt2/3zd3R0+DE47LDD\nAHj00Uf9vRYsWFDj2t0I0xUf/gP4MKAC4hKgxzmn3hJbgJVZF4rIhSKyTkTWqdY1ICBg/2PKnIKI\nvBrY6ZxbLyJnT/Z659zlwOUQmSSn2o+A5rFgwQJvCtPVxwY8lUolzyF84xvfAKqmR71eVzAbL2BX\n76VLlwLRqgywatUqzxZfccUVXqn2d3/3d0C0umWt+np/EUnEHugKq+eWy2XvP/Czn/2Mu+66C8Cb\n6awfxLHHHuvFAxV/lixZ4tnu3t5e7ymoK+2iRYv8Cq8r7sjISEJk0L7qONhYA2tetOHWdluvsyu6\nXtPR0eFNptacqs/U0tLC7t27gap4093dnRDJJuunMN2q068VkfOAViKdwueAxSKSj7mFVcDWabQR\nMMPQiaUfVTqgR0WFW265xe/Tc3O5nP9YdFIXi0W/PTAw4ImK2sx7e3v9NV1dXZ6VVzv+xz/+cZ7/\n/Of7tpRA6YdiJ/fOnTv9B3jttdcCsHbtWtavXw9EbtYqlujHf9hhh3mnn0WLFiWsChCx2vox5vN5\n73+gLslKXNKwUZ7WZVrvY92pdb9eU6lUEiJF2hJj8zrkcjn/zNp3Gw2Zy+W8yKPXWIuF7VezmLL4\n4Jz7mHNulXPuKODNwE+dc+cDPwPeEJ92AXDDVNsICAiYe8yGn8JHgGtE5NPA/cAVs9BGwBTgnPMr\noWJoaMivxoODg34l37ZtGxCttLqSDQ4OevFDV6W2trbESqT7lTtwznkFmYh4Tf8DDzwAwIc//GE+\n9alPAXDGGWd4rz9tZ9u2bfzyl78E4LrrrvPXqc2+WCyyatUqAM4++2yWLFkC4NsZGhry4sfTTz/t\nV2h9JhtOPTw8zM6dOxP97+rqSqzakOQEslbhSqWS2K9t6Yo/OjrqV/vR0VH/rNYzVLmKcrlcoxwt\nFAr++To6OjjppJMAuPvuuwE499xzE9zPZDEjRME5dwdwR7z9BPDCmbhvQEDA3CN4NB5EEBG/WqWT\niUAkn997771ApAuASObVcwqFgucqVNHW19eX0C8o1KK0dOlSv1pt27bNy/xqO3/44Yf5xCc+AcA7\n3/lOv1qqb8Tdd9/t+9zV1eUVhH/wB38ARJyKmg8HBga8fV91Bq2trb7N8fHxRKCRQnUmxWLRy+N6\njeWErPlUV3/rc2BNk7o9Pj6e8EnQaxS5XM6PqT5HS0tL5vXKKVjlZXt7uz93+/btQKRQ1WeymaOa\nRSAKBxlMcAwQTUpVKt54443s27cPqH4oIpIQBazSEaJJaz8G/ehUUbd3715PIJYtW+bPVTb9iCOO\n8BaJyy67rMa68IpXvMJ/qFYpqklOh4eHfZvDw8M17sHlcpktW7b4Z9YPUJWP+Xw+oTS0IoLeU49b\nQmCtL2nrg82HYB2NrHLR+l5oX9NKUIgIQToHxejoqPdJyOVy3tKjROGxxx7zhMxmk2oWISAqICAg\ngcApHERwzvlVR23b9913H9/73veAKFxYV1I16ZVKJX9ud3d3jU9BLpdLKMX0er3GKhoty64r8b59\n+xLbymGo8qxQKHg36b6+Pi926GpaLBb9Cj00NFQTptze3u79JDo7Oz0nYq9R1+zR0dEascqaDC3H\nYPelsznZtPBZ19tzs7w0LcdTKBRqUsRbM+W+ffs816XjqBmgdBwmG3wWiMJBBKsRv+GGyFL87W9/\nu8ahCaofzZ49e7ysu2TJEu+HoNpvy9LncjlPDPSaUqmUkKmtBl2hdvaBgQHP6utEX7p0qdcj5HI5\n71ykxGdsbMxvL1myJDM/g9UJaL9tYhMlIG1tbYmPGZJ+BlYXkHV/RU9PT0InYEUFHRMds5aWFq+/\n0WtshmlLYNSJadGiRV5U2Ldvnx8/TbyydevWhJtzSMcWEBAwLQRO4VkA6ylnE3YqbHDOV7/6VaAa\nJWhdZm1wkyrFrCa9paWlxu5tA37y+XyNpt6y9LlczvfLKvfU58BaN3R127Vrl+dkli9f7gOttM1i\nsejZbqtI1Hv29/d7Rd5AebBqKXDWUhCv5G480S8AaRFcfNzFDMGYG6cyVlUkpsWD0Up1X5QYtuj7\nqtBnGhoaMpxEi/918XotLVUuZGAwuqZ/oExrMeIaDukq0d4RiXLt7ZEYtHHjE3R2VgPfJuurEDiF\ngICABAKncIBCZeNSqZSQ09M2c6jKz5dddplXQqmZsLW1NaFAy8rZqau25RrsqmdNbsopWE5DYU1x\nyjEUi8VMXYb9X/UY3d3d/rjmfty9e7dXPnZ0dPiYCg3xXrp0qddDLFi0sEZnYJ/ZmhezfApsnyz3\nlc6XUMiXPMeSVoRC9D4s92UVlHp/GxCWVjSKSKbPhM1qtXlzpJs54ohVNf1vhEAUDlDopNu5c6e3\nuQPez0CtB3v37uXSSy8FIkcgZauVpWxtbU1ov9M2+XQFJZ2g1tFGCVQ9opD10VvrgE7moaEh/4HZ\nKELd193d7T8s/ehXrVrln2XXrl1eaaepzazIo8TFIl0UNy0+ZFWwsmNiy+J5kYFc4kO3VgUdm6wP\n3CZhscpJHetE+TpDu/U6tfKMj497d/CpEIUgPgQEBCQQOIUDFLoqHXrooX6lrlQqnkPQZKv/+Z//\nyf/8z/8AkSlLA6J0dbMVirJWeqt8tGXV7a/1ArRef5DkFKx5Ta9va2vznM6ePXs8J6P3Sd9T/RO0\nVqNl+UdGRrxZTu9fLpe9eFEZH6sRj2wdCssB2CxJ6YCmevUjfAh5f9n3s7+/PzOgSc+1rtdZ4dg2\nYEs5nnw+T2WkKtakOQXr5fjqV5836dDpQBQOUOiks4lPhoeHefDBB4EoTx9ESVKOOOIIIJpMNo2Y\n/ipba+VbKz5MlA7NEoX29vZEhWq9j97T5iO0LLUSqnK5+jHZPunHMDo66vv/zDPPAJFIcdpppwGR\nw1M6c/Hq1aurPglCjXXF9imL6Fnnoyw356xK2wP9ZS/mjI6O1hTIsZWqLVHTNi0hyOVyNRYdK17Y\n62zRWq1fMRUE8SEgICCBwCkcoFBFmy0Vv3HjRi655BKgWuLs2GOPTax6ukI34gR09bIefZYNtVp5\nXaGy7OHpxKZ6nXIEu3bt8q7NLS0t3mvPrsS2Xd2vHMGiRYu8+NTS0uJdmm0+Bc8JuHHPIdjfrCzL\nlitIr9RWzBgcHEzUcwAoDw57BaW17ijHYkvxWU4oS2RoaWmp+j+YdG2FXNX6Y8UziDxEVeE8FQRO\nISAgIIHAKRyg0JWqVCrx05/+FIAvf/nL3iavobWjo6N+JbLysbV9p0N7IWkzz1JUZXEPVkGmK2Wl\nUqnhTuy2TZa6fPly732oK3ZPT09i9U77P3R3d/v6lg8++KCvZakcg+oeANx4lZux8ns9XQFEnEBa\nDzE8POx1BrZYrI0xyKrroONgY0Asp2DfSVZmJ6tHsNtW5wJR2Ljl+EI+hYMEOhHuvfdeX/jjV7/6\nlQ8e0iQhtsTY8PCw37Z+BnbS637rO2DFC5ucVGGdf+zHptdY8UHvby0G+uEuW7bMB/foR9fT05Mg\nBGmiYNPJbd68mcsuuwyANWuiOqpnnnmmJzTbn9lR44dgRYahoSEvdugH3NLS4vuiIkt/f38ioCod\nJblo0QIvHtm6Eerw1dramiAEaYuIdRKzisbEx20u0f06pu3t7X7fVJKsBPEhICAggcApzAMohbc2\neV09LJUfGhryK7gm6fz85z/Phg0bgCituq506tHX3t7ut20aL8teWvt52qMxrTycSJSwz2LNbDbg\nKu2xWCgUfFtPP/20D3i67777gGQ6OOsJmE6mCpEpTldwTfa6ceNGb5I99fTTvM+CXt/d3e3HzCoV\ntU/qD2H7bMPFLaehXExPd29iTNMFaNO+EfZ/u1/7kVZ0igiFXN7fX7kS9VEREc99WZ+IZhGIwjyA\nTpasuop6hL9dAAAgAElEQVTWulAoFPjFL34BwBe/GFXi27Bhgz/e2tpaI79b9rGeTJqFRhPJHrfb\nNk1bGrlcroYoWYtEa2urj13IigOwhVcUNjIzrR+AZGKY7c/s8Nme9QOyhHhkZMS7Sav2vlQq1RBK\nG/tgWX3bp3qWhPR4TQXW+jE+Po60JK0b1nW9nk5oIgTxISAgIIHAKcwD2GpItkgpkKg4fPvtt/O1\nr30NwHsuFgqFRLozVYpZ9l/ZbxvwpJgsx9BIfLBste0H1PfO01VvwYIFvt6EXZ2tIjAdkQhJT0Gb\n5Rgill5X/91793i2Wsess7PTj4+I1PgxWEVpVmRlugQcJFn2XC5XwyFMZuWu935aclXP07bWZECW\nzexkx7xZTItTEJHFInKdiDwiIg+LyEtE5BARuVVEHot/uxrfKSAgYL5gupzC54BbnHNvEJEi0A58\nHLjdOfdPIvJR4KNEVaMC6kBXymKxmFg1FbfddhsAX/nKV7j//vsBOPLII/01uqpZv3+VY4eGhhKr\nc9ok1wiNOIV6/9fjKNI2dXtue3u7zz1YT6dgvQ8hqROoVCp+1VfdTKlU8txTq7TVxG4MDAwk4ixs\n/ABUK0Wln8MqPK35FaLQaetzMNFK7ZxreiXP4k5scJblDm2K/sliOlWnFwFnAe+IOzwCjIjI64Cz\n49OuJKocFYjCBNCJvGvXLh/lp7j++uv50pe+BESOOOqHoLBlx1paWhLBRfprJ22aKFhC0Qj1lIsW\nWZWXsxKKWJbfVlBWwmYnepYoYhPDWp8FG92p9/RVnccqXimr4oNVytkaElkRi1Z5mN6XGCeyczTU\n+z9rLBu9EyvmpAOqKpXqc9ZLNjsRpiM+HA3sAr4mIveLyFdEpANY7pzbHp+zA1iedbGIXCgi60Rk\nnWYBCggI2P+YjviQB04H3u+cWysinyMSFTycc05EMkmec+5y4HKANWvWNLdUPcuxbNkyv8Jroder\nr77apz3v7Oz0K5zapq1Jz4ZGK0ssIl7pNjg42DRXkAXL6qbzIijSYcJ2pc4K9xURz+qXy+Wac21o\nsb2vTdaqIolNR5cVmjxaGfVsdVYYczoLE0RcXJorSJeXT/c5n6v19kxj2srG+HLLqeizOee8P4ZV\nvjaL6RCFLcAW59za+P/riIjCMyKywjm3XURWADun0cZBAf2A8/k83//+94EojgEiN2UVGUZHR72M\nqxNgZGTET4zR0dGEIw4k6ys046eQFRGYxQqnz1OknZ7SRCF9fS6X88/S29ub6VyVVYPBJoOx98zy\nyfCp59rbPAGySVhs6jWbezJ9nyyRKGvsGiHLYlEPWToH55y3PliHMyX+4+Pj3h9jKovAlMUH59wO\nYLOIPDfedQ7wEHAjcEG87wLghqm2ERAQMPeYrvXh/cA3Y8vDE8BfEBGaa0XkXcAm4I3TbONZD43H\nv/rqq32xV903NjbmtxctWuRZYRUfxsbGEnZwXSlt1eE9e/b4fZP1U0ifk8UhTMRJpFnt9DU2SnBg\nYKDGOmE5BWtzV/+NLC9HSK7kek1ra6vnFKz4YI9rH3XM09mu09fYMffj4JIre5orsNYL6wdRD1mi\nms13kVaulsvlxDhmpY6bCNMiCs65XwNrMg6dM537BgQE7D8Ej8ZJwFYDAmpXCCKzFySVTSOjkVKs\nUCggsYZoeCTSI+zYscPnU3zkkUfYvHkzUE2sumTZUr9S9g30e5lXVw+bmccqvdRM6ZxL1F3MMkla\nZMmvEyEd+pteFYeHhxPBQeqpqXoUm55+fHzc99uaBq3y0JaI130KG/vglX6malQxX6AyUvWPAGhB\naIkrM1VGqgFXHW3t/v46IvruxCj3RAS0gpTGM09gjtRr7DilFYE2B4XVuSRCpFuiedbW3uHPXbo0\niufYsuVpfvzjhwH427/9UCgwO5NQFs3avK2219q39fxcIRpSy2IWC1Xl1cBgxPbfeeedANxxxx2s\nX78eSBYm1Y8/n88n2NeJXnCjD3iyokIazSjSJrJO2Htn2feto1KWG3OjPtjxsYrMdBKTdH8tKz8T\nQUv1RLR6/gjqm6GKwtbW1kTeifQ7j0SWqJ+HHHKI903RyNJ77rmHE044AYjc5TXhTLMIAVEBAQEJ\nBE5hAugKY23mlm1PK/UAhmKxoJCvKne0mOnTTz/t3ZRvvfVWANauXevNiMViMVECDZLsufXuUzTj\nkZhlimzk7tzIe7HeSlrPVAnJ1T8rc9PY2JhXmlnfAZszIV1iLT0+aT8JGxBWr78zFdKcfp70dr32\nlSvQc0dGRhLPkU6MKyIs6Iy4ik2bNnmRTEWvFStW+GxTO3fu5Pjjj59U/wNRaAI6Weo5gdjEIiVD\nIAbLkQZbMyvfc889fnvTpk3+3qo/WLBggScGCjtBEnZy15zGeqqwxM+iEYGYSHzIStdm9SA2YtL6\nO2SJD1nPZ/fp/QuFQkITP9k4g6kgTRQaiVQ2iQxEz66EoK2trcYiUy6X2b0riva0OS5f9rKXAXDU\nUUf5fTabdbMI4kNAQEACgVOYAOnKQJbqW5u5jV3vH4iURps3b/ZFPjX3webNm31qNJuCzSKdL2B8\nfDyh6PT7SVYl0u2p+CFYTLSSNiNG6P+W/bXil8Lazq1ysZGnYBankBW8lFWLopFvhe33dDAZ12YR\nqVFol0qlhJUpnQ1qcHDQcwqnnnoqxx57LFDN4G3zavT19U3aTyFwCgEBAQkETmECZHnnWfnWVgmC\niEKvve9eIFIqPv744wDs3r0bSNrsLXeR5e9gg2/sSuuLlZK90jXzHBb1/Azq/T/Rfqu0s4pChfW+\ntKuXlaUnCiNupA+wSjtbQNfmbsi6ZqIw5+mi3jhZPwUbOq590BiX7u5uP790znR0dHDqqacCkRlz\n9erVADz55JNANM7qm7Fx40bPNTSLQBQmgHWvhST7vmfPHl/E8+GHI0eRrVu3MhArFwcGBhKRjBBN\nfn3BSlBaW1szXW7112rkbTo1kYmZvCzrgp2MzTovpTEVRaO1LqSJolUuWvY/K/gobYnQa2xbShSs\nxUH9SIrFYoLA2980pkMc6hHWem7O+vzaz3K5nHDi0rHSZLNLlixhxWGR09eGDRv8nNTFp6uryxNF\nW+ujWQTxISAgIIHAKUwApeCaTHTTpk3e1LN7927P4unqPzo6ynDs0tzf35/YD9EKYAOdoNZkpiuU\nrfBjayXoCjA6PJLZ50YeiY04g6m4OU/0v4UVD6yYYdOlpzkFmyS1EWxwlf7afAqtra017TcSH6bK\nMWRxT/XCpXfs2AFUg9zGx8d9wNeqVau8mdqGo69btw6IKoHp/WzdB1VOHnPMMYnUfs1gXhGFgYGB\nTIegtH/7dOBTc5k0ZupmunfvXs+C9fX1sXNnlApCzxsYGPCORsPDw35bX+bQ0BD9g9XoxXRmYOu7\nn1U2LJfLZbL11rmlkc057dxTz2ZuMZHtP124JI20tt7mO4TkR1kqlRIxEbrPWnnS/hF2THK5XE0+\nwt7eauGVrq4u/wFYK45+VFkWCxulaJ2frMiSfmf6XHr/dGGa0dER/5yW6Gub/f39CUuCfsxatKZU\nKiWIls4vnUelUslfY8dS9QiVSoVVq1YBcM4550yasAXxISAgIIF5wSk45xgeHk548w0ODvoAEaXA\nfX19idj3rDRfNt+AVhtSVqqnp8evIIODg4lVH6KVXretJ6HuGxwc9NuW07D3qYxX/QvS3nn1ogln\nwjau92p2VcjiDhpdX0/8qBcJqKiXxgyS3FNW8E+6ArNep2NuoyCz0rGl+zKReGQVmVkckr7PQqHg\n56bOXajOk0MOWeKvGR4e9vNQf8fHx30B4OXLqylMlQuy9S2sP4web29vZ6C/17ef9oJduHChD4Ja\nvnz5pN23A6cQEBCQwLzgFLJiyltbWxNyJ1CjMFH5f+PGjUCkEFTln/WOswVAlQKXy+VEyDMk/fD1\nHL0OkinErQLQcg9jrrZGopXvs5RNEwUsNYOJdAJ2dc1qM71vIsVh1vH0vixOIks/YHMweuXp6Gii\nxHv6eueqNRSVS1u4cKGfF7aArc3r2KiAa9az6nZbW1vCJKxtZ63k+hy7du3y3Gl/f7/fr7kjbNWv\nkZGRmiCw8fHxTH8OWylLTa7j4+Ne/6ZjUigUvO9CS0uLn8fNYl4QBYgGt6enJ1EVOGuS33PPPUCU\nh0AHwZZKU/bPEhmrNMoqEuqz/Zoc+paVzTpu7etWTBgbry08mkUUFFN1nGl0nSUUzRCD9D57n8le\nY/enP+os13FLFPRjs4TafsBppyjrEmyVu3YeNBqriZy3BgYGahalsbExr/zr7e2t8QMYGR3z4oX1\nGdBxsPUlbAHhrAQ+Nh2cTSzTWqoWe9HjSkBaWlp8PgUg+CkEBARMD/OGU4CIFbQrgbJFar75zne+\nw+WXXw5EFFprINjy4mmbrkXaTp5WII2MjCRWqqx045ZTSHMaY2Nj0FLfTdeuenZ1SpsR09c0i2a4\njqmEDk/mmixOKEu8sRyDrorFYrGGFbbnWu5MV+JCoZAwM6f9PLJStNlnsqJFVoh2sVj0c0IVhf39\n/Yl0d8qp6O+yQw/LNF9mJZgVqda9UFjP1Uqlkgij1nbGKlGfWltbfV+Uy16wYAGnnHKKv58qNZvF\nvCEKY2Nj5HI5z+pYN9XrrrsOgC9+8Yv+QzzqqKNqIvJ27tyZcApSAqETzbKSaVHC/ur12pd6H3VW\nbIRN5DuR/iBLlp2qHqGRTmEiNBIv6mnr610zkc6hnkiYpdVXDA8PZ37UNgmNjZ1Ii4+2PzrHtC9Q\nW5U5TYz7+vro6ekB8L9jY2NelOjq6vKLk7eijFVTrA0MDPh7qW9BV1eXf+be3t6aiFlbgMY6XNnF\nx45pOrHM8uXLE1aNySKIDwEBAQnMG05B2TxllUSE3/zmN0C16vLIyAhnnXUWEEWEZbmP2ow+aT8E\nbQfqe+pZtjMr9ZkiHdSi14xUaqsp63n1NN2NlF8ToZGfQD0xYLasD436nzUm+p7a2qoVnKxIkFWg\nNqvylU3SqrBekpaTyaq7YK0fyn1s2rTJcyVLly4FopXelmjT/qsL+8DgkE+HtmjRour+WDlZLpcT\nGZotpwQRd6DPUSqVajxjK5UK7W0lv209GQGOPfZY/3y9vb0J7+BmMC1OQUQ+KCIPisjvRORqEWkV\nkaNFZK2IbBSRb0tUKCYgIOAAwXRK0a8E/jdwknOuLCLXAm8GzgP+3Tl3jYh8CXgX8MVm7tnX1+eV\nJeVymdtvvx2orhonn3yyD0gSkRpFX3rVsrKmHrdKoaxVJasyUT2dwETeffXiCBrFD0w1AMf2oZn7\nzLZHoyJ9/yzuThVldoW05jWFLQFv72+5B+X0svQQNneFVe6qInFgYMDrArRPq1ev9n4FqjsYGRnx\nPjLlctmv1KpncFTf8+DgoJ+fen1HR0fiuF5na1qk4x1sn1tbWxkbq/pOqP5AuZxjjjnGX1MoFCZM\nXJuF6YoPeaBNREaBdmA78HLgrfHxK4FLaJIoLFiwIKH9f+SRR4DqwIhIgr3LUhRa9tCKAtFOYTwu\n2FEeHoJYqshyya2HCVl9cyjrY6lnXcja36hNMccaWTfqKQ2z2pnIDXgqYk76+dLse0tLCwsWRdrx\n8vCQL6ajLO/CxYu89UlE/KLhy6aZvBIjlVFysfOYF0PNubmWFoqtpUS/d+3a5aNgR0dHvYPRc444\nzvdPr9/TXU2lpwrlzoULqh9dS1WM1PvbbNI2SEyPF4vFmloXIlJT9Efvq9fn47oPHR0d/nolXkND\nQ9NaXKZTYHYr8K/A00TEYB+wHuhxzqntZQuwMut6EblQRNaJyLpdu3ZNtRsBAQEzjOmID13A64Cj\ngR7gO8Crmr3eOXc5cDnAC17wAqd+AUohH3300YR7MiQDorJWMMuGZ9UAaMlXw64bee+l28jof8P9\nE62szfoB1FPk0aR4MF1MxqOxkXnUIkv5Z0VCn3aupSWhfLQ+JZAUA7MCywqFgucaCoWCz12gYfHO\nOc8ddHV1+b6o+JAWX6DWB0afxXpTWk5oNrI86b2s0lK/Hc0IBkw6aStMT3z4I+BJ59wuABG5Hngp\nsFhE8jG3sArY2szN0i/0gQceqNHKdnd3ezu2/ehtZNxEbHPLWC7BvmZpoptxAErfPwuTcUSa6D51\nZfZMOpH9UU6HQEz22skQA/3fWm/SH32hUPBEYXR0NNN3RGFzF1hWXUXO3bt31/jBdHR0eOeefD5f\nw8qn+6f3zrJeeStISyExtyYqNjNVNl/7MjIykrCEQGQx0bby+fyc1n14GnixiLRL1INzgIeAnwFv\niM+5ALhhGm0EBATMMabMKTjn1orIdcCvgApwP5E48EPgGhH5dLzvikb3Eqkm3FSqtmnTJk/VdaVo\nbW1NKCLTnEK6AGuN0qwymmDl0proNKeQpaBrduWsx3an75MWD5pmv6ne27YzUZtTRTNiQzNt1n2m\n+DLLllsrkAYM2ShIa52wyWBtYVaI7PRaa2NwcNBr6lVkaGlp8RGNvb29/vqJsjVZjjSfzycycwOM\nVSb2DUkrX6eD1tZW/32obm7p0qUJ0Xmy2cqmZX1wzl0MXJza/QTwwuncNyAgYP9h3ng0QtJ33cqX\nNt/9nj17gKRZJyvHXhacZFcuysoMlOYa0vua4R6aWa2b8UhspCeYSa5gNtDIlDkWvxObm9CGq2dx\ndwqrSBwbG/PegzZvho6PDSe2YcjaF1u30b7nNCckxps1W2eQ5C6yTNN2XyMzeBaUk+rq6vL32rJl\nCxDlZbSK2skqG+cVUbCDY3P0qybYpt7Sl25hBzvTuShXvX+mdcJMunosv50AWQqkmfpAG1kx6okf\nzd5zqn2Z7L5mjlvxL010bTKbUqnkRQn9+O1H2d/f70UFfbednZ0+EKlYLNZk4M7n8955yEZE6nFb\nl0M/LhtE5Vw1R0TVdyI/bf+ORtCPvrW1NRG9CXD00UcnROtQNi4gIGBamDecglLeu+66C4D777/f\ne7JZ9k3NLzYk1ZqP7KqTTocm41WRIYt9swE1WWxhI07B7psp1POKbMmoEDUZP4HJtD9TnEI92ICk\ndP/T4lW6AlSlUkkk0LXhxxB5yeqc2bZtWyL5qZ6nbQ4PD9dUBSsUCjV+BlaMnCp3NF2O0s7TZ56J\nis2qaXXJkiWJdG2Tvve0ejbD6O3t5fvf/z4At9xyi89Iqy9wdHTUR6rl8/ka/3Y70JYoeJ1DJZkO\nLK1TSGuSlVVVpPUQ6evTE7jZF9+otkKzH1sj68NUPtqZZoMnukeWSJj2J7H6JYjmjFoPRMSLCvqB\njI6OepEhn8/7uaRiqHMukc5P91vrQ1o8sP20IqfPpzCatIBNJP5NFTaeQfM8HHnkkUAkZmUlmWkW\nQXwICAhIYF5wCs5FufPXrl3rMzOffvrpvmrzhg0bAFi5cmUidVfaT0FEEvn40xWcGmW1Ta9Uumpk\n2cGt95yl+tZjzlZ20mO62tjVbyor+Ghlcsk402i0emW5jte7Lgv23TRy97Yed2n2XyRZF0PHV1dH\n69G3ZMkS//519e/r6/PbS5Ys8derIlEkWQEqrZQbHR2tqWRtI2jts1pFYyNFcNacqQngI5kjJOv9\nbNy4sUa8OeWUU/yc7+jomLRIGziFgICABOYFpyASFU7dsmWL98o6+uijfUJW9T7btm2b5xoWLlzo\n5T79bWlpSXg8KmX1aePzSd/6dDrxtI+4HreKSMsp2G09T7mLvr6+mrqKbW1tflXTvqXTlqdNcmkz\nq65KhdzkX1092XKi1b9RLEhaEZnOQWFzCKaLySpsinfrKQgRx6Ar/b59+7zZTXUGHR0dfsxFpCYf\ngp4DEcdosxtp/7L8VGz9S72Xzf9pa1raGhMAY5X6Gbu0n/Y9a/9tQWLdl8vlamph2LwTuVzOP8tp\np53mx8ymvT9g6z5ANNiaxmrnzp2erVq2bBkQvSAdgF27dvnBsqySdYlOZ9Ht6OhI5GZIWyLSLy+d\nL1+kms/BJq/Q33w+7yd4e3u7T6phC5ioTdkG2VhWOW3RsBPVJgkZr0wuyCX9fM0qDWtcxVNihSUK\nVhSw12WVcrPKOeu8lM4j0N3d7RWFNsO2jnNra6v/QEdGRmo+oHw+79saHh7280evzwp4guq7t5mV\ntZ18Pp+oJK7XqehSGa2m/2tG8WznlP3VY3b+QrTIbdm8CYjmlCpX16xZA0T+Cjr3nHN+u1kE8SEg\nICCBecEpaPLOYrHIYYcdBsBjjz3GU089BUTp3CFiv3V7xYoVPjZef3fv3u05hYULF3oK6Vn2XNWk\nVSgU/H6bzcmmcEsXiLXsu2V1dV8ul/PUvLOz04s/lj1Os7eVSsWzd7ZNa1q0q+pkg1ssmmH/s1hd\nywlkZbuyXIP1RNTj9lnSfga5XM5nW7LKYf3t6+vz91q4cKHPLmSD2WyBV23f1lLQsW5vb/fvwooJ\nul0oFGrEB+dcjaLOutjbuhPKsbZI9bOqF2Bnt/V6m2BV58no6Kjvs4qz27dv9+JTS0sLRx99NABn\nnHEGQIIzsOJNs5gXREFl8T179nit8qpVq/wHpgO0ceNGv2/x4sV+YKzrq9qsu7u7/XXK1i1cvCih\nH7DViiHJftoiHFYMsXX/0glBrHPV0NCQn4xKyI455hjfZ22nr6/PEz+bm09/Lfto4wCK+cknz7DI\nitjLIg7p41lEwR632bR1TCwhThe+GR4eplCKCMTevXv9+9P7LFiwwL+nrCjKfD7pUmzfr0K3bWxD\nVok2EanxRSiVSv5c3eecS+izdJ5p3saO9mrN02acm7TPtg6qzunFixf7/lkr2uannwLgzDPP5Pzz\nzweib0ah91qwYEHwUwgICJge5gWnoOjq6kpUelZqrJSyp6fHrxDPPPOMp7DKCRx66KFeUWm5Dv0d\nKA8mbM5KjbN8D8bHx/3KYEWGrGzPln3WKE6olruzdQFWroxSVqpFpLOz00fvlctlv1Jqn/ft25eI\n/MuqZtUsmuEE0lyDZT2zjtdzw7Yij63lYRV0EFeAiqMKK5WKf5c287Fl6W3lZYhWfysS6EqvnFix\nWEyw02lLQboCU7oS+ejoqO+T9ay1/g76fKoQHxyoWj4sbKFjK1ak/RBaW1t9W4ODgz7IS8d24cKF\nPOc5zwHg9a9/Peeee26iHZ07iuCnEBAQMC3MC07BOUelUuHkk0/28Q5PPPFEgpoDHH744YlaDxoI\noim6bS3CQqHg/RuUEm/bsT2hPExn8Unn+Eubx4rFYqJ9yzVAtArpClYoFPy52r8dO3Z4nYI+59Kl\nS302ICuTaziv9Y3o7++vKkWHa+MEmkHWSj8Rp2DDmS2y8kpYWEWgjtPQ0FBNLY4ohXq0r7OzMxHG\nDBF3ZL0Pdb/1E7D6hXQ1LptPIF1tKt0/ldnBmBcN96DnFQoF/84HBwe9zkO51NGRsQnHNA3ti01f\nr/46g4ODfs5oPYfDDz+cD/+fi/w+vW861btCOY1mMS+IgrJThx56qP9ArFZZC8AMDQ15kcK6t2qQ\nlLpLQ6Ro0Ymp7OPq1av98cHBQT/ZrKOLdQrRCWp9BuolZNFfvSatlddfZZuVUOzevZsnn3wSiIif\n9tVqz62i0yu7Zkh8SCsKJ5rAjTTpFt6RZ2zMK+J6e3sTLLD+tndW36k+q46TtWg45/yHqdf39vb6\n+3d2diYKz2r71o04/U4qlYqfB9a+rx9oV1cX69evB6rvbMWKFRx++OFANF+UmOi7WdC5KFM5W29s\nld3XZ9q7d68XQ1/4whfygQ98AIA//uM/jttsYdjMWRU5tc9QndPDw8Pej6FZBPEhICAggXnBKUBE\nxXt6ejyrMzY25ldttfcPDg56amw5BV2VhoaGPFVua2vzK4RS0jTLXyrEab7bIlbRKqoqlQq7d0Ys\nnDWpWU6iRW3ipdgPolUSJsu0UlBEkDhL6chQbFsvD1E29+zZ2+239RorsngFY0tt5p8s7znL0UwF\nIlJNEktSLLDtaPu66urv8PCwv2ZR12K/EttgscpI/E5GRhNhzJCssGQzHvX2RErcYrHIIYsjtt0W\nY9X2dT+AuOq79grPwTLde6I5t2jRIt79rr8E4H3ve5+//qGHHgLg61//OgBXX3016+9bB0Ts++J4\nhdYVv6+3JxFklQ4NT/vDeEX0QGRGfPGLX8y73/1uAF7xilfU+E7gJOHTYDkEhR6fbHFZAJlKhN5M\n47TTTnN33HEHO3fu5JJLLgEikUGJgU7AkZER/4K3bdvmB9OXBTNuwKOjo/4lWJ91+9Hrs1s51BKN\ntPxZLzef/bVx/GlNttUZWOKiH0IW+16vzfLwUOK89HYjVt9G5Nnt9MduP0TraFOv/qK+H1tXQVl6\nmwPAVlJWl+1mCqdoX1RftHfvXs++W6299ZewH1W6yMvOnTt50YteBMDf//3fc+KJJwIkfFDSH9be\nvXu54oooSflll13mcyNqPoOurq5EDkgdM/UdGBoa8mLy0UcfzRveEFVEOPvss4HIr8UuaDqnplLY\nxUJE1jvn1jQ6L4gPAQEBCcwLTmHNmjVu3bp13H///Vx55ZVApIDbvn07UNUKFwoFH1D03Oc+14sF\nulKNjIz4lWBoaKgmS8/AwEBmRKRVZFlWPe39Vq+uhF1dtU9tbW2eVbarl9XEa59Va10vn4ENKPJs\ndbFQc029iMZmAp3q7be+EVlRjul8ATrWyjHY7FVWkWg5kfJAxOoXi8UaN2Q75tbl2yv1jMejdRO3\nz+MjSwsFP6fUcnXRRRfx0Y9+1B9Pc4cWypmOjIx4ln1kZIRvfetbAHzxi1Ed5Y0bN/r3e8QRR3gO\n4NRTTwVg+fLlHHdcVMD2ec97Xk0KONtWVo4HW+l6MpgxTkFEvioiO0Xkd2bfISJyq4g8Fv92xftF\nRD4vIhtF5AEROX3SPQ8ICNivaMgpiMhZQD/w386534v3fRbY65z7JxH5KNDlnPuIiJwHvB84D3gR\n8Mg8BnYAABKpSURBVDnn3IsadeL00093P//5z2lvb+e73/0uAN/61re8rVblM6iaF3fs2FETG28p\nfblcrjEV5XK5BCegqCfH+jBlk1nHrpRZNn81/1j7tpUvbeYo7XO94Cf9zZL5+wb6/TX1lH7ad+tl\nmOWxWC+OAZLmWtuG9s9WKCqVSjWcgHMukVhV76vvrK2tzftcWJ1CVjyDzaGp91y0qBrPMjAw4N+P\nXUlV6bh7926/wv/jP/4jAK95zWsSnJCu0CrH9/X1eTOzwnIvNoxadQa/+MUv/PaSJUt4wQteAFRN\n51Z3ZTkpvWZ0dDTBPer8sUr0qaBZTqEp8UFEjgJuMkRhA3C2c267iKwA7nDOPVdEvhxvX50+b6L7\nq/hQLpf9y3788ce59tprgWqG50KhkLA+pD/a8fHxxGTTyaA2XztpR0ZGaoqVpqPX7MTWX3s87Qps\nnZfa29v9ZLJJQNIBN2NjYwmXWmtf1meymYW9grJQTQWX5UiU5XtgNfJZmYmzLBVdXV2JvBHal6xx\ntMVY9BqbEMRaShQi4hPG1Eumay0xelzFlJ6eHj+WnZ2dNenYent7/faaNWv47Gc/C1SVghYjIyO+\n39ZRaSKRoru7O5FDQ8fBiixpDA0N+edoa2vLFB8sskSuqWC2FY3LzYe+A1geb68ENpvztsT7sjp4\noYisE5F1yhEEBATsf0zbT8E550Rk0tpK59zlRAVpWbNmjYNoJddVdc2aNT6TzGWXXQbAtddem6gW\nZVNOQcR+qcjQ1tbmKbeaf2zi1Hw+71djm5ZtojDidBhwlkejTQ2uSkcNjCoUCl78UXOrXd3sSmoD\nh6zt33s0mgV9Ij8E+xzLli3LVI7alTgtiljPUOsxan+tyTXdF9u+tdln5VsAMsUrvadNoWe5D2X1\nOzs7ffjyzp07ATj22GM566yzAPj0pz9N1gKk49ve3p7pUWlNqXpM9ymbD1WFuL5PHZ80d5RWHlqT\nO0Tz0Lr425BxiDiNqfgfNIupEoVnRGSFER92xvu3AqvNeavifRNCYx9sHPnevXs9gfjrv/5rAM49\n91y++tWvAnDTTTd5ZxGdNKVSyQ9guVz2L1YHMJ+vZtm1rLD1jbfWifQEth+tZest7KS2ExeiCaJ9\nVpHG6iFaW1s9UdE+22IlturyOLVEKwv2I7XZqrPEi6x7Wd1L2o9D+2QdZbKIghWP9LiNN3Fj1SQ1\naeeotMiRfmddXV3+ubZs2eIXDdX0v/3tb/d+AOVy2Ucy6twolUr+I+7p6fE6ByU0WWNRLBb9ONls\nz/rubD/Hx8cTOTztWEL0gdvCNPZXz1Prms4nS3RmA1MVH24ELoi3LwBuMPvfHlshXgzsa6RPCAgI\nmF9oxvpwNXA2sBR4hqj0/PeBa4EjgE3AG51zeyVaBv4LeBUwCPyFc25do06ootGyRZYCW6WP4q67\n7uI73/kOAD/5yU/8eRohZrMYWZZZqXCpVKpRAlUqlQSnkPbes0k8rabcKhq1/9YT0HrH6fVWDLGK\nunQKOBvlZzmhoZFqgtJm3ZzrKSLT++y2jdK01gvbT2sdSb8rO8ZjY2M1nEKxWEx4NNpz9f72Gn1/\nunrmcjnPdY2NjfGa17wGiPwPIPIYtIq8tNLQvhO7Qls/gTT3YmE5KX03IyMjNc9px7RcLifGR8UX\n5ZKjyNGqmJvmvqwVazJoVtHYUHxwzr2lzqFzMs51wHsbdy8gIGC+Yl55NE4WSk3vvPNOAL7yla9w\nzz33ABHVV9nLxkjYVVkps8qRNgV8f39/oiIQJBVdVkFm4ynSVaEguWqnqwDZugjWDyJL92E9LgeH\nqjKxXY3s82k7dlVOKwohuWqn/QSGhoYyzbSNAq5sOnSrE0l7iVYqFR8Q1dramvCv0GssJ2aT4EKU\nd0MTl37wgx/kzW9+s29Xr5lOsttnE2bUT2G2MVWioM4ethjMfffdB8DnPvc579+gE72joyPhvGSD\nenSfih+HHnpowtJhfyHp8mtZacv2ZkVJZhEFmyB2Ijdd6xOgfgrpDM/pbNDpAqjpWhi2fSseWIee\nyRCFdCk9WxZveHg4UVYPoncyXI7GuVQqJSw9us/myNDj+s7e+9738p73vAeIiLv2W6+xz5QuGHyw\nIQREBQQETAkHLKcwPDzsKb+uDjt37vQ+CSLCr3/9a6AaqHLrrbd67qBYLHqxQa/ft2+fX0Hb29sT\nLLz+2jBcm/Jb27S+E+nKSM5V03nb33RadEiGNlvzl1/px2vLr9V7l3bVtlyL3j/NAenzQZI7yuIU\n0vu038plWd8Nq1S1CldVNNqAJr3P2NiY5whbW1s54ogjAPjIRz4CwIknnujNjEDi/abHZSJ/joMB\ngVMICAiYEg5YTsEqwLJkxb6+vpqEH319fVx11VVApJR89NFHgaqicdGiRX6l6e3trTFB2VqRNg7B\nchLWEy4tn+t+yDYPWo/Ceso/vZcqGtNBWlnBUWnuwG5bhyG9HyQT09hrsjiFrONWt5JVYj1hxi1W\n3186tHx4eNgnVHnLW97ChRdeCFTjSZzJ9mQdxvQ+LS0tNR6BBysOCkWjwir07ASwXmMQTTDrlnrv\nvfcCeEJx5513epu3TdxqqzXZjzYtCtgoRisW2A81TSisa7AlJPajs8TJs93Fqg+HLYSbbtMqPK3S\nT1Hv/vVY7nrEQKFEUccun8/7fdZ6YDNlb98aJUTt6OjwooJ+9Oeff75PjXbIIYd4oqXn2fepbdj+\n22ebbP2DZxuC+BAQEDAlHNB8lbV1K6ypLV1ByvqMDw4OcsoppwBRGm2IRIabb74ZgB/84AesXbsW\nSNYQzModYLM9WY9GRZZSLitvgEVWbIK9XpFmj9PVhlpaWmqqIk3Ublr8qFec1PYpS0Fq/SV0n42N\n0GCxvXv38oLTolw8nZ2dPP/5zwfgVa96FQAnn3xyIl+BciCWQ7BVodJ1ISZ6hoBsHLDiw+DgYNOB\nIcq+5nK5mmATIGE7tx+dZpZWh6gf/ehHnlBs2rTJEwv1bVi6dKmPwrNseVaSVEso7Eeb/ijTcry3\nfozXTvQsotGIqOg5WfeCZFXmrONpqKVB2XubzdkGVOm+jo4O/uPSfwfgJS95iX8/SjTy+XziPdsa\nD5AMssoqQAvTT3j6bEEQHwICAqaEA5ZTgFqlUnqlyApkyXI/roe0d2Eul/Ncx4MPPsiPfvQjAG67\n7TYgyhZllYbpdqz3oA2ntcFHE4UOJ5LG5rLTzmc9p91On5tWfqbnQ1ai2noQk1nKcgR6z3379nlL\nz5ve9CYA3vnOd7JyRVRtyXIldnW3buoqPmQpQu31WRaVg90KETiFgICAKeGA5hTmCtZ8aFfYLJPn\nTTfdBET6CC0Iqud985vf5Je//CVQNblZ06WFXb2tGTQdW6AyNiS9+Kw+w8ZDTOTHkMXdWE4hneJe\n27FKUTXfKqfQ2trKySefDCTLph922GFAMpV+wOxixkKnA+oj7WgE8La3vQ2AXbt2eQ25TvqzzjqL\nn/3sZwBe9Pjxj3+cCN7RD1uJhs3yMzAw4M/Vtkulkr9mfHy8JsVcoVDwLHdPT09Ntugs4mD328hP\ne1+bxclGRGqFpZe//OUAnHfeeRx//PE1z2JFpoD5hSA+BAQEJBDEhyZQT3zIOs8Wu83KAZllPtu8\nOUqAvXHjRnQcfvvb3wKwdetWn9fRcgo2cafNQqQJYXUl37t3r+/TwoULa/JOpoudpj0WFy1axJNP\nPglEnM7FF18MwKpVqwD46U9/6jmV17/+9ZkJRa1COIgK+w8HlZvzbMOyvFluvhYT1QiwyIoNqEd0\nVPv+zDPPeDfsJ554AogiQ7dti9yEjzvuOC+zazzAtddey9133w1EhCot8rS3t3uLwNKlS33EoYoc\nxx13nI9MXLly5YQ2/3pEb6LnHx4envVEpAERgvUhICBgSgicwiSQVsQ1stunqz3pimyRTheWTsc2\nmSAeey9te3R0tKbsmYVNXJqOmJwIKnJY1+JisejbtX4Y1uXZKiUD5haBUwgICJgSArmeBKz3X7qI\nikLt9AsWLEgUSdFr0pxAemVO/2/Lt9vr9D7FYjERu2GDjyBa0VW/kBXunc/nM/NWKiqVSmbmqXop\n3NOKxvHx8ZoKS7b/fX19PnYkYH4gEIUJkJXbICv3gUJEEqy6ig360ebz+UztvD2eFkmKxWLmR5Vu\nF7JFDdufepmNsxLT1kPazyDtWm0rfOvxrApROg6BIMw/NBQfROSrIrJTRH5n9v2LiDwiIg+IyPdE\nZLE59jER2SgiG0TklbPV8YCAgNlBM5zC14mqPv232Xcr8DHnXEVE/hn4GPARETkJeDPwPOBw4DYR\nOd45d0AGtGdxAna7nq+CQrMM2XRx6dRoaY/BySJ9vU3NDsmirllcgq2EZROvWjdnK/KkPSHHxsYS\nokiWSTaLE7HjdLBnRJpvaKZC1P+IyFGpfT8x/94DvCHefh1wjXNuGHhSRDYCLwR+OSO9nWNMZbI2\nuiZ9fLqx/mmWPyticiIrSSOLg83xUO/6rPYbIRCC+YuZeDPvBH4Ub68ENptjW+J9NRCRC0VknYis\nyyoPHhAQsH8wLaIgIp8AKsA3J3utc+5y59wa59wam7c/ICBg/2LK1gcReQfwauAcVxW+twKrzWmr\n4n0BAQEHCKbEKYjIq4APA691zg2aQzcCbxaRkogcDRwH3Dv9bgYEBMwVGnIKInI1cDawVES2ABcT\nWRtKwK2xEuse59x7nHMPisi1wENEYsV7D1TLQ0DAwYoQ+xAQcJAgxD4EBARMCYEoBAQEJBCIQkBA\nQAKBKAQEBCQQiEJAQEACgSgEBAQkEIhCQEBAAoEoBAQEJBCIQkBAQAKBKAQEBCQQiEJAQEACgSgE\nBAQkEIhCQEBAAoEoBAQEJBCIQkBAQAKBKAQEBCQQiEJAQEACgSgEBAQkEIhCQEBAAvMiR6OI7AIG\ngN37sRtLQ/uh/Wd5+0c65xoWWZkXRAFARNY1k1QytB/aD+3PLoL4EBAQkEAgCgEBAQnMJ6JweWg/\ntB/a3/+YNzqFgICA+YH5xCkEBATMAwSiEBAQkMB+Jwoi8ioR2SAiG0Xko3PQ3moR+ZmIPCQiD4rI\nB+L9h4jIrSLyWPzbNcv9yInI/SJyU/z/0SKyNh6Hb4tIcRbbXiwi14nIIyLysIi8ZC6fX0Q+GI/9\n70TkahFpne3nF5GvishOEfmd2Zf5zBLh83FfHhCR02eh7X+Jx/8BEfmeiCw2xz4Wt71BRF45nban\ngv1KFEQkB3wBOBc4CXiLiJw0y81WgIuccycBLwbeG7f5UeB259xxwO3x/7OJDwAPm///Gfh359xz\ngG7gXbPY9ueAW5xzJwCnxP2Yk+cXkZXA/wbWOOd+D8gBb2b2n//rwKtS++o987nAcfHfhcAXZ6Ht\nW4Hfc86dDDxKVMmdeC6+GXhefM1l8Xcyd3DO7bc/4CXAj83/HwM+Nsd9uAF4BbABWBHvWwFsmMU2\nVxFNwpcDNwFC5M2WzxqXGW57EfAksZLZ7J+T5wdWApuBQ4B8/PyvnIvnB44CftfomYEvA2/JOm+m\n2k4d+1Pgm/F24hsAfgy8ZLbmYtbf/hYfdIIotsT75gQichRwGrAWWO6c2x4f2gEsn8Wm/wP4MDAe\n/78E6HHOVeL/Z3McjgZ2AV+LxZeviEgHc/T8zrmtwL8CTwPbgX3Aeubu+S3qPfNcz8t3Aj/aT23X\nYH8Thf0GEekEvgv8jXOu1x5zEYmeFVutiLwa2OmcWz8b928CeeB04IvOudOIYk4SosIsP38X8Doi\n4nQ40EEtaz3nmM1nnggi8gkikfabc912PexvorAVWG3+XxXvm1WISIGIIHzTOXd9vPsZEVkRH18B\n7Jyl5l8KvFZEngKuIRIhPgcsFpF8fM5sjsMWYItzbm38/3VERGKunv+PgCedc7ucc6PA9URjMlfP\nb1HvmedkXorIO4BXA+fHRGnO2p4I+5so3AccF2uei0QKlhtns0EREeAK4GHn3KXm0I3ABfH2BUS6\nhhmHc+5jzrlVzrmjiJ73p86584GfAW+Yg/Z3AJtF5LnxrnOAh5ij5ycSG14sIu3xu9D25+T5U6j3\nzDcCb4+tEC8G9hkxY0YgIq8iEiFf65wbTPXpzSJSEpGjiZSd985k2w0xlwqMOkqW84i0r48Dn5iD\n9s4kYhMfAH4d/51HJNffDjwG3AYcMgd9ORu4Kd4+hujlbwS+A5Rmsd1TgXXxGHwf6JrL5wc+BTwC\n/A74BlCa7ecHribSYYwScUvvqvfMRIrfL8Rz8rdElpKZbnsjke5A5+CXzPmfiNveAJw72/Mw/Rfc\nnAMCAhLY3+JDQEDAPEMgCgEBAQkEohAQEJBAIAoBAQEJBKIQEBCQQCAKAQEBCQSiEBAQkMD/BZxU\nqk5WWwRzAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ff6f410>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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EahyrvQ0aWvdhemoCtEhrV/tsmiJnSuslzO9ocPtzbgZgTr+b+akJpjTfJI4S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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114c2f910>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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WX5sMaDVUWDvzxVVLVQppHX8hkSFtTrWSXbtZqsKwtlXIFkintQNlG/sDhx5k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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114cc28d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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/5OuAv6OHvAf4SYJQuOow+mvOKH3Nf5qmFK4DkvOZp6mrDSIxwuc/81nAchcA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\nDGp2J3ihCoVG2vTRmWeEG8zCeLaOxh21if4ksEO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ynlA7CD/vU2Q2qv5Sm6rlarLV55tk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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114d35d50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x114dcac50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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dBkDJde9PjYzy6U9/2h5fYHDAdmd3bNsOwMmxM+w9aKMF+gYOcOON1oTgBU6t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\nXws1CxSLxZbYVi8043vmz39iYiLY9P2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HjfT06dPBFORjT+PhhLwGODAwQM4N2ZLPF1mx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\nq5lZAhdXM7MELq5mZgn+Ao/9940HvOdoAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114e47bd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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B0Z+jbcwb+oenU6i8j6dT8HQKNaNTCMbuOvRktgqdMb8K/T1dB1w0xriH0C6Nn1e8n59w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\nEx7seThtCAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114edca90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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qqwadzY7R0qTVyQdGNTL9p3/5xzz9vLY/HF7C8Ljd06K1PdXPyJgq3M6mOL1t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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114f41dd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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E47brdLq4wR0ROSvOoNvtBkdipVIZiFQE2wnKp2tPT0+H/XzdhYWFheCULDsa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\nKAOoUFAUZQAVCoqiDPD/A5Q0w3X0E7b/AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114fd3c90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#show 10 examples\n",
    "for i in range(10):\n",
    "    eg = np.random.randint(len(imList))\n",
    "    plt.figure()\n",
    "    plt.imshow(imList[eg])\n",
    "    eg_label = Labels[labelList[eg]]\n",
    "    eg_fineLabel = finegrainLabels[finegrainLabelList[eg]]\n",
    "    eg_subfineLabel = subfinegrainLabels[subfinegrainLabelList[eg]]\n",
    "    plt.title(eg_label+'\\n'+eg_fineLabel+'\\n'+eg_subfineLabel)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "imTensor shape: (50078, 136, 136, 3)\n",
      "Label Tensor shape: (50078,)\n",
      "(50078,)\n",
      "(50078,)\n",
      "imTensor range: [ 0 255 ]\n",
      "im Labels set: { [0 1 2 3] }\n",
      "fine Labels set: { [ 0  1  2  3  4  5  6  7  8  9 10 11 12 13 14 15 16 17 18 19 20] }\n",
      "sub fine Labels set: { [   0    1    2 ..., 3079 3080 3081] }\n"
     ]
    }
   ],
   "source": [
    "#print out image details\n",
    "imTensor = np.asarray(imList)\n",
    "print 'imTensor shape:', np.shape(imTensor)\n",
    "labelTensor = np.asarray(labelList)\n",
    "print 'Label Tensor shape:', np.shape(labelTensor)\n",
    "fineLabelTensor = np.asarray(finegrainLabelList)\n",
    "print np.shape(fineLabelTensor)\n",
    "subfineLabelTensor = np.asarray(subfinegrainLabelList)\n",
    "print np.shape(subfineLabelTensor)\n",
    "\n",
    "print 'imTensor range: [',imTensor.min(), imTensor.max(), ']'\n",
    "print 'im Labels set: {', np.unique(labelTensor),'}'\n",
    "print 'fine Labels set: {', np.unique(fineLabelTensor), '}'\n",
    "print 'sub fine Labels set: {', np.unique(subfineLabelTensor), '}'\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "#save the image, and label lists as tensors\n",
    "np.save('../../InData/SHOES/xShoes.npy', imTensor)\n",
    "np.save('../../InData/SHOES/yShoes.npy', labelTensor)\n",
    "np.save('../../InData/SHOES/fineYShoes.npy', fineLabelTensor)\n",
    "np.save('../../InData/SHOES/subfineYShoes.npy', subfineLabelTensor)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x114d35f10>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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2QlN4H6YNveNDwG9rrW8D5oD3bsE1BEHYITbbYPYI8A+B/xP4Fdtf8qeAf2x3+RjwW8BH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\nsPtcq6ZwwZkFSqkp4KLdfha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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1170f0210>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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qAp80056914IpQ8ZjqcPY1jhKF5cgunxIkqzR7Rrg0qVg3FxaXMKWD1ePLR8M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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1170f0dd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "im = imTensor[eg]\n",
    "im128 = resize(im, (128,128))\n",
    "plt.imshow(im)\n",
    "plt.figure()\n",
    "plt.imshow(im128)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Load and shuffel the datasets\n",
    "xShoes = np.load('../../InData/SHOES/xShoes.npy')\n",
    "yShoes = np.load('../../InData/SHOES/yShoes.npy')\n",
    "fineY = np.load('../../InData/SHOES/fineYShoes.npy')\n",
    "subfineY = np.load('../../InData/SHOES/subfineYShoes.npy')\n",
    "\n"
   ]
  }
 ],
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